Question

Find the 24th term of the arithmetic sequence whose common difference is d = 3 and whose first term is a 1 = -1.(Picture is more understandable)

Answer 1

Given:

First term of the arithmetic sequence, a1 = -1

Common difference of the arithmetic sequence, d = 3

Required: 24th term of the arithmetic sequence

Step-by-step explanation:

The n-th term of an arithmetic sequence with first term 'a' and common difference 'd' is

`a_n=a+(n-1)d`

Substitute the given values into the formula.

`\begin{gathered} a_(24)=-1+(24-1)3 \\ =-1+69 \\ =68 \end{gathered}`

Final Answer: The 24th term of the arithmetic sequence is 68.